LCM of 838, 320, 308, 105, 661
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 320, 308, 105, 661 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 838, 320, 308, 105, 661. So, keep reading to learn more.
Given numbers are 838,320,308,105,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,320,308,105,661 is 20472809280.
Find LCM of 838,320,308,105,661 with Prime Factorization
| 2 | 838, 320, 308, 105, 661 |
| 2 | 419, 160, 154, 105, 661 |
| 5 | 419, 80, 77, 105, 661 |
| 7 | 419, 16, 77, 21, 661 |
| 419, 16, 11, 3, 661 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 419 x 16 x 11 x 3 x 661 = 20472809280
Therefore, the lowest common multiple of 838,320,308,105,661 is 20472809280.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
838 x 320 x 308 x 105 x 661 = 5732386598400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
838 : 1, 2, 419, 838
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
105 : 1, 3, 5, 7, 15, 21, 35, 105
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,320,308,105,661, is 1.
Now, the common factors can be found like this.
838:2x 419
320:2x 2x 2x 2x 2x 2x 5
308:2x 2x 7x 11
105:3x 5x 7
661:661
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 5x 7 = 280
Therefore, the value for common factors is 280.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 5732386598400/(1x280)
LCM = 5732386598400/280
LCM = 20472809280
Thus, we can understand that the LCM of 838,320,308,105,661 is 20472809280.
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FAQs on LCM of 838, 320, 308, 105, 661
1. What is the LCM of 838, 320, 308, 105, 661?
Answer: LCM of 838, 320, 308, 105, 661 is 20472809280.
2. How to calculate the LCM of 838, 320, 308, 105, 661?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 838, 320, 308, 105, 661.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.